The Golden Ratio, an irrational number, has fascinated mathematicians, scientists, and artists for centuries. The Fibonacci sequence, a progression of numbers, converges towards the Golden Number, highlighting the universal rule of mathematical harmony. This principle influences biological structures, art design. The Fibonacci and Golden Ratio concepts have been used to improve financial modeling, computational efficiency, and architectural designs. Research on these patterns is expected to lead to deeper insights into quantum physics, neuroscience, and artificial intelligence. The Fibonacci sequence and Golden Ratio serve as evidence of the inherent mathematical order in nature.
Kalia et al. (Fri,) studied this question.